I put the suggestion forward to our resident GIF-maker, @Dimo-X to think about for 2018.
In the meantime, YouTube is a good alternative. Our colleagues at TELUS Quebec posted this hour-long video of the Optik Fire Log and STORYHIVE created this TELUS firelog video straight out of Wetaskiwan, Alberta.
Here's a little GIF I put together for your amusement! @Scoto & I are still working on those fire making skills! lol We'll look into your neat idea of a looping fire place GIF though! 🙂